13 citations · 60 across the 82 of their papers we have counts for
8 papers · 1 filter
Besov regularity of the uniform empirical process
Gane Samb Lo, Ahmadou Bamba Sow
The paths of Brownian motion have been widely studied in the recent years relatively in Besov spaces $B_{p, \infty}^\a$. The results are the same as to the Brownian bridge. In fact…
The General Poverty Index
Gane Samb Lo
We introduce the General Poverty Index (GPI), which summarizes most of the known and available poverty indices, in the form {equation*} GPI=δ(\frac{A(Q_{n},n,Z)}{nB(Q,n)}\overset{Q…
Demmartingales and the functionnal Hill process for small parameters
Adja Mbarka Fall, Gane Samb Lo, Cheikhna Hamallah Ndiaye
Association of random variables and Demimartingales are recent fields for handling asymptotic behaviors of sums of dependent random variables. We apply their techniques to establis…
On a discrete Hill's statistical process based on sum-product statistics and its finite-dimensional asymptotic theory
Gane Samb Lo
The following class of sum-product statistics T_n(p)=\frac{1}{k}\sum_{h=1}^p \sum_{(s_1...s_h)\in P(p,h)} \sum_{i_1=l+1}^{i_0} ... \sum_{i_h=l+1}^{i_{h-1}} i_h \prod_{i=i_1}^{i_h}…
Multivariate Normality of a class of statistics based on extreme observations
Gane Samb lo
Let be a sequence of independent random variables ()with common distribution function () such that and for each let $X_{1,n}\leq X…
On Hàjek - Rényi type inequality and application
Gane Samb Lo, Cheikha Hamallah Ndiaye
In this paper, we establish a new Hájek - Rényi's type inequality and obtain strong law of large numbers (SLLN) for arbitrary random variables. We base our methods on demimartingal…
How many statistics are needed to characterize the univariate extremes
Gane Samb Lo
Let be a sequence of independent random variables () with common distribution function () such that . We consider the simple statistical probl…
Statistical estimation of gap of decomposability of the general poverty index
Mohamed Cheikh Haidara, Gane Samb Lo
For the decomposability property is very a practical one in Welfare analysis, most researchers and users favor decomposable poverty indices such as the Foster-Greer-Thorbeck povert…